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Finding the Fourth Proportional to 525,785.10, 788,677.65 and 420,809.10

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Solution

The fourth proportional to 525,785.10, 788,677.65 and 420,809.10 is: 631,213.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,785.10 : 788,677.65 = 420,809.10 : x
  2. Step 2: Convert to fraction form
    525,785.10/788,677.65 = 420,809.10/x
  3. Step 3: Cross multiply
    525,785.10x = 788,677.65 × 420,809.10
  4. Step 4: Simplify right side
    525,785.10x = 331,882,732,086.62
  5. Step 5: Solve for x
    x = 331,882,732,086.62/525,785.10
  6. Step 6: Final answer
    x = 631,213.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.